4.253   ODE No. 1253

$$\boxed{{\displaystyle x(1+x)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+(3x+2)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+y\left(x\right)=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.025003 (sec), leaf count = 34 $$\left\{\{y(x)\to \frac{\sqrt{2}{c}_1}{x}+\frac{c_2\log (2x+2)}{\sqrt{2}x}\}\right\}$$

Maple: cpu = 0.0 (sec), leaf count = 16 $$\{y\left(x\right)=\frac{\ln (1+x)\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}}{x}\}$$